Finding All Asymptotes of a Rational Function (Vertical, Horizontal, Oblique / Slant)

Finding All Asymptotes of a Rational Function (Vertical, Horizontal, Oblique / Slant).
Here we look at a function and find the vertical asymptote and also conclude that there are no horizontal asymptotes, but that an oblique asymptote does exist. We then use long division to find the oblique asymptote.

[Joe]

Haven't been to school in six years and this first semester back in college has been a lot easier thanks to your videos. You're a good man for doing these and I appreciate everyone. Please keep doing such great work!

[NicholasJMV]

Be careful. Even if the powers of the numerator don't equal the denominator, there could still be a HA (the denom) has a larger power than the numerator (y=0). I think you misspoke.

[STONEAJE]

Your videos are amazing because they explain everything properly but do so in a short amount of time. Thanks!

[MandaPanda]

Why can't this guy be teaching my college algebra class?

[dondigga]

Guys I think one should also consult a textbook before or after watching a video. Patrick here made a huge mistake saying "horizontal asymptote exists only when the degree of the numerator is equal to the degree of the denominator, whereas horizontal asymptote exists when the degree of the numerator is is LESS THAN or EQUAL TO that of the denominator... but we all make mistakes, he was mistaken there.

[adriancodmw]

You have literally saved my life like a thousand times. Thanks

[craig]

Thanks Patrick! Clear voice and neat writing, thumbed up.

[allykelly]

Why didn't i see this weeks ago! I've been stressing over my teachers lecture videos because I don't understand her and I understand it all in 10 mins from your videos!

[phoenixwings]

Thank you so much. I will spread the word. My school has "lecture" videos posted online about this, they don't come close to how well you explain it. Please keep making videos!

[TrigintaSeptem]

I've been watching these videos every night this year and just realised you write with your left hand... ^^ Anyways, thank you so much!

[heidyfgt]

this is my second time taking college algebra and i always thought it was "asymptope" lol

[jcd]

Thank you so much. You are a great savior, and a great person for taking your'e every day time to video tape this videos. It took me less than 5 second for everything to make sense. Yesterday in school i was in so much pain for not being able to answer the questions asked to me . Now i now what vertical, horizontal, and obliqe asymptotes are. Now let's see how i go in my test tomorrow. I will post my grade here hope i pass. Again thank you have a nice day.

[recoil]

Test in 2 days, your videos are great for revision trying to stay one step ahead.Thanks you so much Patrick Jones.

[dewaningram]

You are really a life saver. I am making an A in my calculus class because of your material.

[jewcreww]

i have a test tomo...THANK YOU for this video you just saved me so much time spent staying up late trying to figure this out

[mryip]

It seems that you missed a case
When the degree of the denominator is greater than that of the nominator, there exists horizontal asymptote which is y=0. Right?

[twothirdsostrich]

Just found your videos, and you've managed to explain this way better than my professor ever did. Thank you so much for posting. I'll def be subscribing for more! :)

[patrickjmt]

happy i could help :) spread the word about the videos! :)

[osteetheman]

i have pre-calc exam in 3 days that im freaking out for. my prof just talks too dang fast and doesnt explain things step by step. thank you for these videos. ill be watching this one alot over the new few days

[Darkie]

wow ur a great help in helping me to achieve good result in my pure mathematics subject.